let's analyze each case to determine the solution
<u>case 1)</u> f(0) = 2 and g(–2) = 0
For x=0-----> find the value of f(0) in the graph-----> f(0)=4
For x=-2-----> find the value of g(-2) in the graph-----> g(-2)=0
therefore
the statement of the case 1) is false
<u>case 2)</u> f(0) = 4 and g(–2) = 4
For x=0-----> find the value of f(0) in the graph-----> f(0)=4
For x=-2-----> find the value of g(-2) in the graph-----> g(-2)=0
therefore
the statement of the case 2) is false
<u>case 3)</u> f(2) = 0 and g(–2) = 0
For x=2-----> find the value of f(2) in the graph-----> f(2)=0
For x=-2-----> find the value of g(-2) in the graph-----> g(-2)=0
therefore
the statement of the case 3) is true
<u>case 4)</u> f(–2) = 0 and g(–2) = 0
For x=-2-----> find the value of f(-2) in the graph-----> f(-2) is greater than 12
For x=-2-----> find the value of g(-2) in the graph-----> g(-2)=0
therefore
the statement of the case 4) is false
therefore
<u>the answer is</u>
f(2) = 0 and g(–2) = 0-------> this statement is true
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